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Good question. Many people find it hard to understand which is which. Each of them has an addition version and a multiplication version.
The commutative property is stated as: a+b=b+a, or ab = ba. Notice that the numbers (a and b) move back and forth. Think of a commuter, who travels back and forth to work each day.
The associative property is stated as: (a+b)+c=a+(b+c) or (ab)c = a(bc). In this case the parentheses move back and forth, so you might want to call it the commutative property too! But there's something else going on here. Parentheses are grouping symbols, and a you group is the people you hang out with or associate with.
So remember: If the grouping symbols move, it's the associative property. If it's the other one where things move, it's the commutative property.
What else can I help you with?
What are the math properties?
They are the associative property, distributive property and the commutative property.
What is the difference between the commutative property and associative property?
In the case of addition: Commutative property: a + b = b + a Associative property: (a + b) + c = a + (b + c) Note that (1) the commutative property involves two numbers; the associative property involves three; and (2) the commutative property changes the order of the operands; the associative property doesn't. Repeatedly applying the two properties allow you to rearrange an addition that involves several numbers in any order.
What is the associative property of multiplication and commutative property of multiplication and distributive property of multiplication?
Commutative: a × b = b × a Associative: (a × b) × c = a × (b × c) Distributive: a × (b + c) = a × b + a × c
What are the three names for additions properties?
associative property commutative property zero property
What is the other property besides identity commutative or associative?
distributive
What are the properties of mathematical system to be a commutative group?
Closure, an identity element, inverse elements, associative property, commutative property
What are the properties of multipulcation?
They are the Associative Property of Multiplication, the Commutative Property of Multiplication, and the Zero Property of Multiplication.
Is 3 plus 8 equals 8 plus 3 assocative property?
3+8 = 8+3 is NOT an associative property but a commutative property. Associative property shows change of grouping while commutative property shows change of order.
Multiply by using distributive property n 4n 9?
You need the associative and commutative properties, but not the distributive property. n*4n*9 =n*(4n*9) (associative) = n*(9*4n) (commutative) = n*(36n) (associative) = 36n*n commutative = 36*n^2
What does commutative property and associative property mean?
The commutative property holds that the results are the same no matter the order. Multiplication is commutative since a x b = b x a. The associative property holds that the results are the same no matter the grouping as long as the order stays the same. Multiplication is associative since (a x b) x c = a x (b x c)
Is 4x(3x1)(4x3)x1 a commutative property?
No, that's associative.
Which property involves changing how group the addends?
Commutative and associative properties.
